https://file.aiquickdraw.com/mathbot/file/1726022447334e8m6uva9.jpg

The problem asks for the elements of \( A' \) (the complement of set A) based on the given Venn diagram with the universal set \( U \), and sets \( A \) and \( B \).

From the Venn diagram, the elements of each set are:

- Set \( A \) contains: \( \{1, 3, 7, 9\} \)
- Set \( B \) contains: \( \{5, 6, 7, 8\} \)
- The universal set \( U \) contains all the elements in both \( A \) and \( B \), and possibly more outside: \( \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\} \)

### Finding \( A' \) (the complement of set \( A \)):
The complement \( A' \) consists of all elements in the universal set \( U \) that are **not in** set \( A \). So, we need to exclude the elements \( \{1, 3, 7, 9\} \) from \( U \).

Thus, the elements of \( A' \) are:
\[
A' = \{2, 4, 5, 6, 8, 10\}
\]

### Comparing to the multiple-choice options:
- The closest option is \( \{2, 4, 6, 8, 10\} \), which matches the elements of \( A' \) excluding 5, since 5 is part of \( B \).

Hence, the correct answer is: 
\[
\boxed{\{2, 4, 6, 8, 10\}}
\]

Would you like a deeper explanation, or do you have any further questions?

Here are 5 related questions:
1. How do we define the complement of a set?
2. What is the union of two sets in a Venn diagram?
3. How is the intersection of sets determined?
4. How do you determine the elements of \( B' \) in a similar problem?
5. What is the difference between \( A \cup B \) and \( A \cap B \)?

**Tip:** To quickly find the complement of a set, subtract its elements from the universal set.

Given the Venn diagram below with universal set U and sets A and B with their corresponding elements, what are the elements of A'?

Learn how to find the elements of the complement of set A (A') using a Venn diagram with universal set U and sets A and B. This problem covers basic set theory concepts and is suitable for students in Grades 6-8.

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